Question

Manu’s age is 6 times Binus age. 15 years hence Manu will be 3 times as old as Binu find Binu’s age ?

• A. 60 years
• B. 10 years
• C. 45 years
• D. 50 years

Answer 1

Answer:

B. 10 years

Let $B$ be Binu's current age.

Let $M$ be Manu's current age.

From the problem, we get two equations:

1. "Manu’s age is 6 times Binu's age"

   $M = 6B$

2. "15 years hence Manu will be 3 times as old as Binu"

   $M + 15 = 3(B + 15)$

We can substitute the value of $M$ from the first equation ($M = 6B$) into the second equation:

$\begin{aligned} 6B + 15 &= 3(B + 15) \\ 6B + 15 &= 3B + 45 \\ \end{aligned}$

Now, isolate the term with $B$:

$\begin{aligned} 6B - 3B &= 45 - 15 \\ 3B &= 30 \\ B &= \frac{30}{3} \\ B &= 10 \end{aligned}$